What is the Greatest Common Factor of 77514 and 77529?

Greatest common factor (GCF) of 77514 and 77529 is 3.

GCF(77514,77529) = 3

We will now calculate the prime factors of 77514 and 77529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77514 and 77529.

How to find the GCF of 77514 and 77529?

We will first find the prime factorization of 77514 and 77529. After we will calculate the factors of 77514 and 77529 and find the biggest common factor number .

Step-1: Prime Factorization of 77514

Prime factors of 77514 are 2, 3, 12919. Prime factorization of 77514 in exponential form is:

77514 = 2¹ × 3¹ × 12919¹

Step-2: Prime Factorization of 77529

Prime factors of 77529 are 3, 43, 601. Prime factorization of 77529 in exponential form is:

77529 = 3¹ × 43¹ × 601¹

Step-3: Factors of 77514

List of positive integer factors of 77514 that divides 77514 without a remainder.

1, 2, 3, 6, 12919, 25838, 38757

Step-4: Factors of 77529

List of positive integer factors of 77529 that divides 77514 without a remainder.

1, 3, 43, 129, 601, 1803, 25843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77514 and 77529. The biggest common factor number is the GCF number.
So the greatest common factor 77514 and 77529 is 3.

Also check out the Least Common Multiple of 77514 and 77529